Compare 24/45 and 30/35
24/45 is smaller than 30/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/315 < 270/315 or 24/45 < 30/35
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